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2014 NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES
Guang-Hui Cheng
Taiwanese J. Math. 18(1): 305-312 (2014). DOI: 10.11650/tjm.18.2014.2594

Abstract

In this paper, we proposed some lower bounds for the minimum eigenvalue of the Fan product of $M$-matrices, and a upper bound for the spectral radius of the Hadamard product of nonnegative matrices. These improve two existing results. To illustrate our results, two simple examples are considered.

Citation

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Guang-Hui Cheng. "NEW BOUNDS FOR EIGENVALUES OF THE HADAMARD PRODUCT AND THE FAN PRODUCT OF MATRICES." Taiwanese J. Math. 18 (1) 305 - 312, 2014. https://doi.org/10.11650/tjm.18.2014.2594

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.15012
MathSciNet: MR3162127
Digital Object Identifier: 10.11650/tjm.18.2014.2594

Subjects:
Primary: 15A18‎ , 15A42

Keywords: $M$-matrix , Fan product , Hadamard product , minimum eigenvalue , Nonnegative matrix , spectral radius

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

Vol.18 • No. 1 • 2014
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